ECAT Pre Engineering MCQ Test With Answer for Mathematics Full Book

No term of a harmonic sequence can be

• 0 A
• 1 B
• 2 C
• 3 D

If E = { } , then P(E)

• ∅ A
• { } B
• {(2),(4),(6)....} C
• (∅) D

Multiplicative inverse of "1" is

• +- 1 A
• 0 B
• 1 C
• None of these D

∀a,b ε R, ab = be is a

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplicative identity D

• 
  A
• 
  B
• 
  C
• 
  D

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

i² =

• 1 A
• 2 B
• -1 C
• 0 D

If n is any positive integer then n! > n²for

• 
  A
• 
  B
• 
  C
• 
  D

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

• Orthogonal A
• Collinear B
• Perpendicular C
• None of these D

sin (sin^-1(1/2))=

• 0 A
• 2 B
• ∞ C
• 1/2 D

Domain of y = scs x is

• All real numbers except π/2 + n*π A
• R B
• All negative integers C
• None of these D

i³ =

• -1 A
• i B
• -i C
• 1 D

The multiplicative inverse of 1 - 2i is

• 
  A
• 
  B
• 
  C
• 
  D

How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons

• 8! A
• 5!3! B
• 5! C
• 20 D

If the matrices A and B are conformable for multiplication then (AB)^t= ______

• AB A
• A^tB^t B
• B^tA^t C
• A^tB D

• 1/3 A
• 1 B
• 3 C
• None of these D

• A finite set A
• An infinite set B
• An empty set C
• None of these D

The maximum value of the quadratic function f(x) = -2x2+20x,is

• 4 A
• 3 B
• 50 C
• 7 D

Which of the following statement is true

• 16^1/3x 16^1/6 = 4 A
• 9^1/3 x9^1/6 =8^11/8 B
• 9^1/3 x9^1/6 = 9^1/8 C
• All of these D

• π / 3 A
• π / 4 B
• π / 6 C
• 0 D

The nth term of an A.P is (3n+5) Its 75th term is

• 26 A
• 7 B
• 21 C
• Cannot be determined D

Unit vector in the positive direction of x-axis is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If a = {2m/2m < 9 ,m€ p} , the (n A) =

• {2,3,4,5,6,7,8} A
• {2,4,6,8............16} B
• { 4, 6} C
• {2,3,5,7} D

• 
  A
• 
  B
• 
  C
• 
  D

0 is a symbol of

• singleton set A
• Empty set B
• Equivalent set C
• Infinite set D

For Cosine Rule of any triangle ABC, b²is equal to

• a²- c²+ 2ab cos A A
• a³+ c³- 3ab cos A B
• a²+ c²- 2ac cos B C
• a²- c²4bc cos A D

• 
  A
• 
  B
• 
  C
• 
  D

Which one the valid rood of 3x³ - 8x²- 5x + 8 =?

• 4 A
• 3 B
• 8 C
• A and B both D